Properties of the Number 2801

Two Thousand Eight Hundred One

Basics

Value: 2800 → 2801 → 2802

Parity: odd

Prime: Yes

Previous Prime: 2797

Next Prime: 2803

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2801

Divisors: 1, 2801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 101011110001

Octal: 5361

Duodecimal: 1755

Hexadecimal: af1

Square: 7845601

Square Root: 52.92447448959697

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Euclid-Mullin sequence: a(1) = 2, a(n+1) is smallest prime factor of 1 + ∏_k=1..n a(k). A945

a(n) = (7ⁿ - 1)/6. A23000

Primes of the form 1 + n + n² + n³ + ... + n^k, n > 1, k > 1. A85104

D-toothpick sequence of the second kind (see Comments lines for definition). A194270

Array read by antidiagonals: T(n,k) is the number of sublattices of index n in generic k-dimensional lattice (n >= 1, k >= 1). A160870

Prime numbers that are the sum of the divisors of some n. A23195

a(n) = n⁴ + n³ + n² + n + 1. A53699

Number of integer partitions of n with integer alternating product. A347446

Primes of the form x² + 40y². A107145

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 8 as largest digit. A256708